Using ruler and compasses only, draw an equilateral triangle of side $5\mathrm{cm}.$ Draw its insribed circle. Measure the radius of the circle.

Using ruler and compasses only,

Construct a triangle $\mathrm{ABC}$ with the following data :

Base $\mathrm{AB}=6\mathrm{cm},$ $\mathrm{BC}=6.2\mathrm{cm}$ and $\angle \mathrm{CAB}=60º.$

Using ruler and compasses only,

Construct a triangle $\mathrm{ABC}$ with the following data :

Base $\mathrm{AB}=6\mathrm{cm}, \mathrm{BC}=6.2\mathrm{cm}$ and $\angle \mathrm{CAB}=60º.$

In the same diagram, draw a circle which passes through the points $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ and mark its centre $\mathrm{O}.$

Using ruler and compasses only,

Construct a triangle $\mathrm{ABC}$ with the following data :

Base $\mathrm{AB}=6\mathrm{cm}, \mathrm{BC}=6.2\mathrm{cm}$ and $\angle \mathrm{CAB}=60º.$

In the same diagram, draw a circle which passes through the points$\mathrm{A}, \mathrm{B}$and $\mathrm{C}$ and mark its centre $\mathrm{O}.$

Draw a perpendicular form $\mathrm{O}$ to $\mathrm{AB}$ which meets $\mathrm{AB}$ in $\mathrm{D}.$

Using ruler and compasses only, Construct a triangle ABC with a following data: Base $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=6.2 \mathrm{cm} \mathrm{and} \angle \mathrm{CAB}=60°$

Prove that: $\mathrm{AD}=\mathrm{BD}.$

Perpendicular bisectors of the sides $\mathrm{AB}$ and $\mathrm{AC}$ of a triangle $\mathrm{ABC}$ meet at $\mathrm{O}.$

What do you call the point $\mathrm{O} ?$

Perpendicular bisectors of the sides $\mathrm{AB}$ and $\mathrm{AC}$ of a triangle $\mathrm{ABC}$ meet at $\mathrm{O}.$

What is the relation between the distances $\mathrm{OA}, \mathrm{OB}$ and $\mathrm{OC}?$

Perpendicular bisectors of the sides $\mathrm{AB}$ and $\mathrm{AC}$ of a triangle $\mathrm{ABC}$ meet at $\mathrm{O}.$

Does the perpendicular bisector of $\mathrm{BC}$ pass through $\mathrm{O} ?$